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Finding the Fourth Proportional to 13,079.08, 18,051.54 and 7,777

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Solution

The fourth proportional to 13,079.08, 18,051.54 and 7,777 is: 10,733.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,079.08 : 18,051.54 = 7,777 : x
  2. Step 2: Convert to fraction form
    13,079.08/18,051.54 = 7,777/x
  3. Step 3: Cross multiply
    13,079.08x = 18,051.54 × 7,777
  4. Step 4: Simplify right side
    13,079.08x = 140,386,826.58
  5. Step 5: Solve for x
    x = 140,386,826.58/13,079.08
  6. Step 6: Final answer
    x = 10,733.69

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.